6x+7-3x-10=-2x+12

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Solution for 6x+7-3x-10=-2x+12 equation: 


Simplifying
6x + 7 + -3x + -10 = -2x + 12

Reorder the terms:
7 + -10 + 6x + -3x = -2x + 12

Combine like terms: 7 + -10 = -3
-3 + 6x + -3x = -2x + 12

Combine like terms: 6x + -3x = 3x
-3 + 3x = -2x + 12

Reorder the terms:
-3 + 3x = 12 + -2x

Solving
-3 + 3x = 12 + -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.
-3 + 3x + 2x = 12 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-3 + 5x = 12 + -2x + 2x

Combine like terms: -2x + 2x = 0
-3 + 5x = 12 + 0
-3 + 5x = 12

Add '3' to each side of the equation.
-3 + 3 + 5x = 12 + 3

Combine like terms: -3 + 3 = 0
0 + 5x = 12 + 3
5x = 12 + 3

Combine like terms: 12 + 3 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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